{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-01-05T09:36:33.246960Z",
     "start_time": "2025-01-05T09:36:33.147807Z"
    }
   },
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot([1,2,3,4,5],[1,3,2,4,5])\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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pmLMxCln5xbA2N8aSCQEY3N5J6bJICzCMEBFRvSooLsGHO87iu+OJcrtDC1t8MakDXJuwLUNlGEaIiKjeXL6Rg5k/hiPmaqbcfq63B14b4gUTI0OlSyMtwjBCRET1YnvUNczdFI3sgmI0sTDB0scC0N/bUemySAsxjBARUZ3KLyrBwu1nsPb3JLn9SMsm+HxSBzjbNFK6NNJStTpPtmjRIhgYGGD27NkPfF5ISAi8vb1hbm4OPz8/7Ny5szZvS0REWurC9WyMXXGsPIi80Lc1fpzWjUGE6ieMnDx5El999RX8/f0f+LzQ0FBMmjQJzz77LCIiIjB27Fi5xMTE1PStiYhIC22NuIpRXxzFudQsNLU0xXfPdMHrQ71hzPEh9BA1+gnJzs7G5MmT8fXXX6NJkyYPfO6yZcswdOhQzJkzBz4+Pli4cCE6duyI5cuX1+StiYhIy+QVluCNjVGY/dNp5BaWoJuHHXbO6oU+bZspXRrpchiZMWMGRowYgYEDBz70ucePH/+f5w0ZMkQ+XpmCggJkZmZWWIiISPsk3cyVbZmfTiXDwAB4aUAbrJ3aDY7W5kqXRro8gHX9+vUIDw+XbZqqSE1NhaNjxdHTYls8Xpng4GAsWLCguqUREVED3233+bVhiEvLgn1jM3z+eCCCPO2VLot0/cxIcnIyZs2ahbVr18rBqPVl3rx5yMjIKF/E+xIRkXb58rcLiL2WCVsLE/zyYg8GEWqYMyNhYWFIT0+XYz7uKikpweHDh+UYENFeMTKqeH8BJycnpKWlVXhMbIvHK2NmZiYXIiLSTrHXMvDFgXi5vmB0e14tQw13ZmTAgAGIjo7G6dOny5fOnTvLwaxi/d4gInTv3h379++v8NjevXvl40REpM677r4WEoXiUg2GtnfC6IDmSpdE+nRmxMrKCr6+vhUes7S0RNOmTcsfnzJlClxcXOS4D0G0dfr06YOlS5fKQa9izMmpU6ewevXqutwPIiJqIMt/S8DZlEzYWZrig7/5yvmmiGqjzi/+TkpKQkpKSvl2UFAQ1q1bJ8NHQEAANm7ciK1bt/5PqCEiIu0XczUDK35LkOsLx/jKgatEtWWg0Wg00HLi0l4bGxs5mNXa2lrpcoiI9Pbuu6O/OCavnhnh74wVT/x3/CBRbT6/OS0eERFVyRf7E2QQEbOrvj+6vdLlkA5hGCEiooeKTL6DlYcuyPUPxvqiKdszVIcYRoiI6KF34X0tJBIlpRp55cwwP2elSyIdwzBCREQP9Nm+eMSnZ8vBqmJOEaK6xjBCRESViki6jdWHy9ozH/7NF00sTZUuiXQQwwgRET2wPVOqAf7WwQWD21c+czZRbTCMEBHRfX2y9zwuXM+Bg5UZ5o9qp3Q5pMMYRoiI6H+EJd7C10cuyvXgcX6wtWB7huoPwwgREVWQVyjaM1EQU2KO7+SKAT6OSpdEOo5hhIiIKljyaxwu3ciBk7U53hnJ9gzVP4YRIiIq98elW/j22CW5HvyoH2wamShdEukBhhEiIpJyC4sxZ2OkbM9M7OyGfl4OSpdEeoJhhIiIpI93xyHxZi6a25jjrZE+SpdDeoRhhIiIcOLiTawJvSzXFz3qD2tztmeo4TCMEBHpuZyCsvaMMKlLC/Ru20zpkkjPMIwQEem5RbvOIflWHlxsG+GtEWzPUMNjGCEi0mPHEm7g+xOJcv3j8f5obGasdEmkhxhGiIj0VHZBMV7fGCXXn+zmjh6e9kqXRHqKYYSISE99uPMsrt7Jg5tdI8wd5q10OaTHGEaIiPTQ4fPXse73JLn+8aMBsGR7hhTEMEJEpGcy84swd1NZe+YfQS3RvXVTpUsiPccwQkSkZ/61/SyuZeTDvakFXh/qpXQ5RAwjRET65GBcOn46lQwDA2Dx+ABYmLI9Q8pjGCEi0hMZeaI9Ey3Xnw5qhS6t7JQuiUhiGCEi0hMLt59BamY+WtlbYs4QtmdIezCMEBHpgf1n07Ax7IpszyyZ4I9GpkZKl0RUjmGEiEjHZeQWYd7msvbMtF4e6OTO9gxpF4YRIiIdt+CXWKRnFcCjmSVeGdRW6XKI/gfDCBGRDvs1NhWbI67CULZnAmBuwvYMaR+GESIiHXU7pxBvbomR6//s3RodWzRRuiSi+2IYISLSUfN/jsWN7AK0cWiM2QPbKF0OUd2EkZUrV8Lf3x/W1tZy6d69O3bt2lXp89esWQMDA4MKi7m5eXXekoiIamB3TAp+jrwGI0MDtmdI61Vr6j1XV1csWrQIbdq0gUajwXfffYcxY8YgIiIC7du3v+9rRGiJi4sr3xaBhIiI6s/N7AK89Wd7ZnofDwS42SpdElHdhZFRo0ZV2P7Xv/4lz5acOHGi0jAiwoeTk1N13oaIiGrh3Z9jcTOnEF6OVnhpANszpMNjRkpKSrB+/Xrk5OTIdk1lsrOz4e7uDjc3N3kWJTY29qHfu6CgAJmZmRUWIiJ6uO1R17AjKkW2Z5Y+FgAzY7ZnSAfDSHR0NBo3bgwzMzNMnz4dW7ZsQbt27e77XC8vL3z77bfYtm0bfvjhB5SWliIoKAhXrlx54HsEBwfDxsamfBFBhoiIHkwMVn13W9kffDP6ecLXxUbpkoiqxEAjBn9UQ2FhIZKSkpCRkYGNGzfim2++waFDhyoNJH9VVFQEHx8fTJo0CQsXLnzgmRGx3CXOjIhAIt5TjEEhIqKKxK/yF9aGY1dMKnycrbFtRg+YGvOCSVKW+PwWJxUe9vld7XtHm5qawtPTU6536tQJJ0+exLJly/DVV1899LUmJibo0KEDEhISHvg8cdZFLEREVDW/RKXIIGIsr57xZxAhVan1T6tovfz1LMbDxpmINo+zs3Nt35aIiP6UnpWPd7eVXT3zYv82aN+c7RlSl2qdGZk3bx6GDRuGFi1aICsrC+vWrcPBgwexZ88e+fUpU6bAxcVFjvkQ3n//fXTr1k2eSblz5w4WL16MxMRETJ06tX72hohID9sz4jLeO7lFaN/cGi/0a610SUT1G0bS09Nl4EhJSZE9IDEBmggigwYNkl8XY0kMDf97suX27duYNm0aUlNT0aRJE9nWCQ0NrdL4EiIierhtp69h75k0mBiVXT1jYsT2DOnBAFZtHgBDRKRP0jLzMfjTw8jIK8Jrg9tiZn/OKULq/PxmhCYiUiHxd+Sbm6NlEPFzscH0PmzPkHoxjBARqdCm8KvYfy4dpkaGsj1jzPYMqRh/eomIVCY1Ix8Lfimb3OzlQW3R1tFK6ZKIaoVhhIhIZe2ZuZujkJVfLG+AN61XK6VLIqo1hhEiIhUJOXUFB+Ouy0nNlk7wZ3uGdAJ/iomIVOLqnTws3H5GrourZzwd2J4h3cAwQkSklvbMpihkFRSjYwtbPNvTQ+mSiOoMwwgRkQqsP5mMI/E3YGZsiCUTAmBkaKB0SUR1hmGEiEjLXbmdiw/+bM/MGeIFj2aNlS6JqE4xjBARabHSUg1e3xiFnMISPNKyCZ7uwatnSPcwjBARabG1fyQh9MJNmJsYYvF4tmdINzGMEBFpqeRbuQjeeVauzx3qjZb2lkqXRFQvGEaIiLS0PTNnYyRyC0vQtZUdpnRvqXRJRPWGYYSISAt9fyIRJy7egoWpkWzPGLI9QzqMYYSISMtcvpGDRbvOyfV5w7zRoqmF0iUR1SuGESIiLbx6Jq+oBEGtm2JyV3elSyKqdwwjRERaZE3oZfxx+RYsTY3w0aP+bM+QXmAYISLSEhevZ+PjPWXtmTdH+MDNju0Z0g8MI0REWqBEXj0ThfyiUvT0tMcTXVooXRJRg2EYISLSAt8evYSwxNtobGaMj8b7w8CA7RnSHwwjREQKS0jPxpJf4+T6OyN94GLbSOmSiBoUwwgRkcLtmddCIlFQXIo+bZvhsc5uSpdE1OAYRoiIFPT1kYs4nXwHVubGWPSoH9szpJcYRoiIFBKfloVPfj0v198d2Q7ONmzPkH5iGCEiUkBxSSleDYlEYUkp+ns7YHwnV6VLIlIMwwgRkQK+OnwRUVcyYG1ujOBxbM+QfmMYISJqYOdSM/HZvrL2zHuj28PR2lzpkogUxTBCRNSAikpK5dUzRSUaDPRxxN86uChdEpHiGEaIiBrQyoMXEHM1E7YWJvhwnC/bM0QMI0REDefMtUx8cSBeri8Y3R4OVmzPEAkMI0REDaCw+L/tmSHtHTE6oLnSJRGpM4ysXLkS/v7+sLa2lkv37t2xa9euB74mJCQE3t7eMDc3h5+fH3bu3FnbmomIVGfFbwk4k5KJJhYm+GAsr54hqnEYcXV1xaJFixAWFoZTp06hf//+GDNmDGJjY+/7/NDQUEyaNAnPPvssIiIiMHbsWLnExMRU522JiFQt5mqGDCPCwrG+aGZlpnRJRFrFQKPRaGrzDezs7LB48WIZOO41ceJE5OTkYPv27eWPdevWDYGBgVi1alWV3yMzMxM2NjbIyMiQZ2SIiNTUnhm9/CjOpWZhhJ8zVkzuqHRJRA2mqp/fNR4zUlJSgvXr18uwIdo193P8+HEMHDiwwmNDhgyRjz9IQUGB3IG/LkT3sys6BdtOX0UtMzVRvREDVkUQaWppivfHtFe6HCKtZFzdF0RHR8vwkZ+fj8aNG2PLli1o167dfZ+bmpoKR0fHCo+JbfH4gwQHB2PBggXVLY30zMG4dDy/Nlyu/3z6GpZMCEATS1OlyyIqF3XlDr48eEGufzDWF00bsz1DVCdnRry8vHD69Gn8/vvveP755/HUU0/hzJkzqEvz5s2Tp3TuLsnJyXX6/Un9MvKKMHdTdPn2/nPpGP75EZy6fEvRuojuKiguwasbIlFSqsGogOYY5uesdElEuhNGTE1N4enpiU6dOskzGAEBAVi2bNl9n+vk5IS0tLQKj4lt8fiDmJmZlV+xc3ch+qsPtp9BamY+Wja1wKbnu6OVvSVSMvIxcfUJfHkwAaWlbNuQsj7bF4/49GzYNzbD+6PZniGq13lGSktL5RiP+xHtnP3791d4bO/evZWOMSGqigPn0hASdgXiykjRmunkbodfXuwp520Qf4V+vDsOT685iZvZ9/+5JKpvp5Pv4KtDZe2ZD//my/YhUV2GEdE+OXz4MC5fvizHjojtgwcPYvLkyfLrU6ZMkY/dNWvWLOzevRtLly7FuXPn8N5778lLgmfOnFmdtyUql5H73/bMsz1aoXNLO7ne2MwYyx4PxKJxfjAzNsSh89dl2+bExZsKV0z6Jr9ItGdOQ5ycGxvYHIPbP/hMMBFVM4ykp6fLwCHGjQwYMAAnT57Enj17MGjQIPn1pKQkpKSklD8/KCgI69atw+rVq2U7Z+PGjdi6dSt8fX3rfk9ILyz4JRbpWQXwsLfEa0O8KnxNTCL1eJcW2DazB1o3s0RaZgGe+PoEPt8fL8+YEDWET/eex4XrOXIuEXFHXiJqgHlGGgLnGSFh75k0TPvPKRgaABufD0LHFk0qfW5OQTHe2RaDzeFX5XYPz6b4dGIg7wVC9Sos8RbGrzoO8Vv1mymdMbBdxasJifRNZn3PM0LUkG7nFOLNLWXtmWm9PR4YRARLM2N88ligHFPSyMQIxxJuYviyoziWcKOBKiZ9bM/MCYmSQeTRjq4MIkTVwDBCqvDeL7G4nlUAT4fGeHlg2yq/bnwnV/w8swfaOjbGjewC/P3/fscne8+zbUN1bsmeOFy8kQNHazO8O+r+cy8R0f0xjJDW2x0jZlm9Jtsz4kyHuYlRtV7fxtEK22b0xOOPuMm/WsUYEjGWJC0zv95qJv1y8vIt/N+xS3J90Th/2DQyUbokIlVhGCGtdiunEG9vLbux4vQ+rRHoZluj79PI1AiLHvWXV9xYmhrh90u3MHzZEXnVDVFt5BYWY05IpAy6j3V2RT9vB6VLIlIdhhHSau9ui8GN7ELZZpk1sE2tv9+YQBc5J4mPszVu5hTiqW//wEe7z6G4pLRO6iX9I+a1uXwzF8425nh7JNszRDXBMEJaa0dUCrZHpcDI0ABLJwTCzLh67ZnKeDRrjC0vBGFy1xZye+XBC3h89Qlcu5NXJ9+f9IeYx2ZN6GW5/tGj/rA2Z3uGqCYYRkgricGm4tJc4YW+reHnalOn31+MO/nX3/yw/IkOcsK0U4m35SRpYnZXoqoQl4+/vjFKrk/q4obebZspXRKRajGMkNYRU9+8szVGjhfxdrLCi/1r356pzEj/5tjxUk/4udjgTm4RnllzCv/acQZFbNvQQ4j2XtKtXLjYNsKbw32ULodI1RhGSOv8EpWCXTGpMDY0kFfPmBrX74+pe1NLbHy+O/4R1FJuf33kEiasOo7kW7n1+r6kXqEJN/Cf44nl7RkrtmeIaoVhhLRKela+HLQqzOzvCV+Xum3PVEaMRxFTd6/6eydYmxvLG52N+PwI9sSmNsj7k3pkFxRjzp/tmb93a4GebeyVLolI9RhGSKvaM29tiZHtknbO1pjRz7PBaxjq64QdL/VCgJstMvOL8dz3YfJ+OAXFJQ1eC2mn4J1ncfVOHlybNMK8YWzPENUFhhHSGmJiM3H/GROjsvaMiZEyP55udhYIea47pvVqJbf/fewyxq88jqSbbNvouyPx17H29yS5/vF4f3nbASKqPYYR0grpmfmY/3OsXH+pfxu0a67sDRHFOJW3RrSTNzuztTBB9NUM2bbZGf3fu1KTfsnKL8Ibf7ZnnurujqDWbM8Q1RWGEdKK9oy4CV5GXpG8qmV639bQFuJmZ6Jt08m9CbIKivHC2nB5pY+4KRrpl3/tOItrGfloYWeBN4Z5K10OkU5hGCHFbQ6/in1n02FqZKhoe6Yy4tLN9f/shuf/DEnfn0jEuC9DcelGjtKlUQMRtw1YfzJZri8e7w8LU7ZniOqSdv3WJ72TmpEv78griOnevZysoI1EQHpjqDfWPP0I7CxNcSYlEyM/P4Jtp68qXRrVM3HG7m575ukeLdHVo6nSJRHpHIYRUrQ9M3dzFLLyixHgaoPnentA2/X1csDOl3qhSys75BSWYNb605i7KYptGx32wfYzSM3MR8umFnh9CNszRPWBYYQUExJ2BQfjrsvBoqI9Y6xl7ZnKONmYY93UrnixvycMDCBP349ZfgwJ6VlKl0Z1TNweQPyciuMsfkbF3Z+JqO6p47c/6RxxU7qFv5yR668Oaos2jtrZnqmMCE6vDvbC9890hX1jM8SlZWHUF8ewKeyK0qVRHcnILcLcTdFyfWrPVujc0k7pkoh0FsMIKdKeeWNTlLw6pUMLW0ztpf3tmcqI2Td3zuqJoNZNkVdUgldDIvFaSCRyC4uVLo1qacH2WKRnFcCjmaUMnkRUfxhGqMGJtsaR+Bsw+7M9Y2RoADVzsDLH9892xcsD20LsysawKxi9/BjiUtm2USsx+Z64ykscT/EzKu7yTET1h2GEGtSV27lyQKAwZ4gXWjdrDF0gApW4Gmjt1G5wsDJDQno2xqw4ip9OJskzQaQet3MK5bw3wrTeHujYoonSJRHpPIYRavD2jLgKpbN7Ezzdo2y6dV3SvXVT7JzVC73a2CO/qBRvbIrGyz+dljdXI3UQl5pfzyqAp0NjebaLiOofwwg1GHFPj2MJN2FuYojFOtCeqYwY0Prd013w+lAvuY9bT1/D6C+O4sy1TKVLo4fYHZMq75HE9gxRw2IYoQaRfCsXH+48K9fFXA2t7C2hywwNDfBCX085c6uzjTku3sjB2C+P4YcTiWzbaKlbOYV4e2tZe2Z6n9YIdLNVuiQivcEwQvWutFSDORvFFSYl6NLSDv8Iagl98UhLO3lvm/7eDigsLsXbW2Mw88cIZOYXKV0a3ePdbTG4kV2Ito6N5fgfImo4DCNU7374PREnLt5CIxMjLJ7gL88a6BMxfby4+++bw71hbGiAHVEpGPXFUURfyVC6NPqTuBvz9qgU2VZbOiEQZsZszxA1JIYRqleJN3MQvPOcXJ833BvuTXW7PVMZEcD+2bs1NkzvLm+8l3gzF4+uDMWaY5fYtlHYjewCecZKmNG3NfxcbZQuiUjvMIxQ/bZnQqLkZGDdPOzw967u0HfiMlFxb5tB7RxRWFKK9345g+k/hMnZPqnhiSD4ztYYOV7E28kKM/uzPUOkBIYRqjdrQi/jj8u3YGFqhMXjA/SuPVMZGwsTrH6yE94d2Q4mRgbYE5uGEV8cwenkO0qXpndEa2ZXTKpsn4mrZ8R9koio4fFfHtWLSzdy8PGesvbMm8N94GZnoXRJWsXAwADP9GyFTc8HoYWdBa7czsP4laH45shFtm0aSHpWPt7ZVtaemdnfE74ubM8QqSKMBAcH45FHHoGVlRUcHBwwduxYxMXFPfA1a9askb94/7qYm5vXtm7SYiWyPRMpJ/3q6WmPyV1bKF2S1vJ3tcX2l3piuJ8Tiks1+GDHWUz7zyncyS1UujSdJgLf21ticCe3CO2crTGjn6fSJRHptWqFkUOHDmHGjBk4ceIE9u7di6KiIgwePBg5OTkPfJ21tTVSUlLKl8TExNrWTVrs38cu4VTibTQ2M8aiR/1kAKXKWZubYMUTHbFwrK9sE+w7m47hy44gLPGW0qXprJ8jr+HXM2myTbb0sQCYGPEkMZGSjKvz5N27d//PWQ9xhiQsLAy9e/eu9HXiw8jJyanmVZJqiHuyLN5TdrbsrRE+cG3C9kxViH8jT3ZzR8cWtpi5LkK2uR776gReG+yF53p7cLxNHUrPzMe722Ll+kv928DH2Vrpkoj0Xq3+HMjIKJsnwc7O7oHPy87Ohru7O9zc3DBmzBjExpb9IqhMQUEBMjMzKyykkvbMxkgUFJfKe7M8/oib0iWpTvvmNvjlxZ4YHdBc/v/50e5zeOa7k7iZXaB0aTrTnhE3wcvIK4Kfiw2m922tdElEVJswUlpaitmzZ6NHjx7w9fWt9HleXl749ttvsW3bNvzwww/ydUFBQbhy5coDx6bY2NiULyLEkPYTgy8jku7AyswYHz3qz/ZMDYn21rLHAxE8zg9mxoY4GHcdwz8/gt8v3lS6NNXbHH5VtsFMjQzl1TNszxBpBwNNDYfuP//889i1axeOHj0KV1fXKr9OjDPx8fHBpEmTsHDhwkrPjIjlLnFmRAQScSZGjD8h7ROfloURXxyVU55/PN4fj3VmgKwL51IzMWNtOC5cz5E3bxN3kX2hn6fO3mSwPqVm5GPwp4eQmV8sb2Io7h1ERPVLfH6LkwoP+/yu0Z8FM2fOxPbt2/Hbb79VK4gIJiYm6NChAxISEip9jpmZmSz6rwtpr+KSUrwWEimDSD+vZpjQqXo/E1Q5bydr/DyzJ8Z1dEGpBli69zye+vYPeYt7qjrxN9e8zVEyiAS42eKfvTyULomIahpGxD9oEUS2bNmCAwcOoFWrVqiukpISREdHw9nZudqvJe301eGLiLySAStzYwSPY3umrlmaGeOTxwKxeLy/vL/P0YQbGLbsCEITbihdmmqEhF3Bb3HX5dVKS8b7w5jtGSKtUq1/keKyXjHuY926dXKukdTUVLnk5eWVP2fKlCmYN29e+fb777+PX3/9FRcvXkR4eDj+/ve/y0t7p06dWrd7QoqIS83Csn3xcv29Ue3hZMM5ZOrLhM5u+HlmD3lXWXE/lcn/9zs+2XteDnSlyl27k4eFv5yR668Oaos2jlZKl0REtQkjK1eulH2fvn37yjMbd5effvqp/DlJSUlyLpG7bt++jWnTpslxIsOHD5f9o9DQULRr1646b01aqOhue6akFAN9HGQrgeqX+CDdNqMnJnZ2gxjt9fn+eEz+5gTSMvOVLk0ribO5czdHI6ugGB1a2GIq2zNEujWAVRsHwFDD+mJ/vBzDYNPIBHtf7g0Ha54VaUhbI67Ky1RzC0vQ1NIUn04MRO+2zZQuS6us/yNJhhFxVdLOWb3QulljpUsi0iuZ9TmAlejMtUx8fqCsPbNgdHsGEQWM7eCC7S/2lJN23cwpxJRv/8DHu8/JAcUEXLmdK6fXF+YM8WIQIdJiDCNU4/ZMUYkGg9s5Ykxgc6VL0lsezRpjywtB5ff/+fLgBUz6+gRSMv47jksfiRO+b2yKQnZBMTq7N8HTPao/2J6IGg7DCFXbit8ScCYlE00sTPCvv/HeM0ozNzGSx2H5Ex3khGknL9+W97Y5cC4N+mrt70k4lnAT5iaGWDwhgPOyEGk5hhGqlpirGVh+oGyOmPfH+KKZlZnSJdGfRvo3l20bXxdr3M4twjNrTuHDnWflmSx9knwrV+638MZQb7Syt1S6JCJ6CIYRqjIxqZloz4hb3Q/zdcJIf84Vo21a2lti0/NB+EdQS7m9+vBFPPbVcTl+Qh+Ulmrw+sYoOai3Sys7PNW97P8HItJuDCNUZV8ciMe51CzYWZrK292zPaOdzIyN8N7o9lj1945yIjpxvyDRtvk1NhW67offE3H84k05OZyYJI53OyZSB4YRqpLoKxlycKSwcIwv7BuzPaPthvo6Y+dLveT052Ia9H9+H4YFv8TKM1y6KPFmDoJ3npPr84Z7w70p2zNEasEwQg9VUFyCV0NOy5k+RWtmBNszquFmZ4GQ57pjas+yq0n+fewyxq8KRdLNXJ1rz8zZGIW8ohJ092iKv3d1V7okIqoGhhF6KDHd+/m0bNg3NpWDVkldxP1Y3h7ZDt9M6SwnqIu6koERnx/Bzuj/zpSsdt8dv4w/Lt2ChamRvGs02zNE6sIwQg90OvkOVh0qa898MNZPjhchdRrYzlHOQtrJvYmcHv2FteF4Z2sM8otKoGaXbuTgo91l7Zk3h/vIs0FEpC4MI1Qp8SElrp4R92ETE5sN9XVSuiSqJRfbRlj/z26Y3qe13P7+RCIeXRkqP9DVSLQO54REIr+oFD097csnfyMidWEYoUp9uu88EtKz5Vwi4o68pBtMjAwxd5g31jz9iDzTFXstEyM/P4KfI69Bbf597BJOJd6Wk70tepQT8BGpFcMI3VdY4m18ffiiXP/wb35owvaMzunr5SCvthHzceQUluClHyMwb3O0ato2F65nY/GeOLn+9ggfuDZhe4ZIrRhG6H+ID6M5f7ZnxnVwwaB2jkqXRPXEycYc66Z2xYv9PSFOKvz4RxLGrjgmz4hpe3tGtBALikvlnYonPuKmdElEVAsMI/Q/luyJw8UbOXCwMsN8tmd0nrGRIV4d7IXvn+kqr5gSE9uN+uIoNoVdgbb65shFOZmblWjPjGN7hkjtGEaoglOXb+H/jl2S66IHb2NhonRJ1EB6trGXbZug1k3lfB2vhkTKsw+5hcXQJvFpWVi697xcf2dUOzS3baR0SURUSwwjVC6vsOzqGY0GmNDJFf292Z7RNw7W5vj+2a54eWBbiKk6NoZdwZjlx3A+LQvaoLik7P5IYhbZfl7N5M8pEakfwwiV+3jPOVy+mQtnG3M5SRbpJyNDA8wa2AZrp3aTrbr49GyMXn4UG04mQyOSqoJWH7mIyCsZ8p47weP82Z4h0hEMIyT9fvGmnCpcWPSov5ypk/Rb99ZN5SRpvdrYy3k8Xt8UhZd/Oo2cAmXaNnGpWfhsb7xcF5eai8G3RKQbGEZIjgkQ9/UQHn/EDX3aNlO6JNIS4oaI3z3dBXOGeMkzJltPX5ODW89cy2zQOorutmdKSjHQxwHjOro06PsTUf1iGCF8tOsckm7lormNOd4a4aN0OaRlxH1eZvTzlDO3Olmbyyutxn55DGt/T2ywts2qgxcQfTVDnrET896wPUOkWxhG9FzohRv47niiXP94fACszNmeoft7pKWdbNv093aQA0jf2hKDF3+MQFZ+Ub2+79mUTHx+oKw98/6Y9nKQLRHpFoYRPZZdUIzX/2zPPNG1hby0k+hBxPTx4u6/bw73hrGhAbZHpWDkF0cRczWj3tozr26IRFGJBoPbOWJ0QPN6eR8iUhbDiB4L3nkWV27nyZunibudElW1bfPP3q2xYXp3+bOTeDMX474MxXehl+u8bbPitwScSclEEwsT/IvtGSKdxTCip47G38Da35Pk+uLx/vJGY0TV0bFFE+x4qae8XYAYWDr/51g8/0M4MvLqpm0jzrYsP5Ag198f4ytv2EhEuolhRA+JHv8bm8raM1O6uyPIk+0ZqhlbC1OsfrIT3h3ZDiZGBtgdm4oRnx/B6eQ7tfq+YkyKuHqmuFSD4X5OGOnvXGc1E5H2YRjRQx/uPIurd/LQws4Cbwz1VrocUjnROnmmZytsnB4EN7tGsvU3YVWovH9MTds2yw/Ey3vkiDEq4qwI2zNEuo1hRM8cOn8dP/6RLNc/Hu8PS7ZnqI4EuNlix0u95JkMMeD0gx1nMe0/p3Ant7Ba3yf6SgZWHLwg1xeO8ZVznRCRbmMY0SOZ+UWY+2d75h9BLdHNo6nSJZGOsTY3wYonOmLhmPYwNTLEvrPpGL7sCMISb1Xp9QXF4gZ9p1FSqpGtmRFszxDpBYYRPfLB9jNIychHy6YWeH2ol9LlkI4SLZUnu7fE5heC5M/atYx8PPbVCaw6dAGlpQ9u2yzbF4/zadmwb1zWniEi/cAwoid+O5eODaeuQLTeF08IgIUp2zNUv3xdbLD9pV5ybhBxpmPRrnN45ruTuJldcN/nRybfkYFF+GCsnxwvQkT6oVphJDg4GI888gisrKzg4OCAsWPHIi4u7qGvCwkJgbe3N8zNzeHn54edO3fWpmaqpozcIszdXNaeeaZHKzmTJlFDEJeML3s8EMHj/GBmbIiDcdcx/PMj+ONSxbZNfpFoz0RCnDgZE9gcQ32dFKuZiLQ8jBw6dAgzZszAiRMnsHfvXhQVFWHw4MHIycmp9DWhoaGYNGkSnn32WURERMgAI5aYmJi6qJ+q4P3tZ5CWWQAPe0u8NpjtGWr4ts2kLi2wdUYPeDSzlD+Lj68+Lq+Yudu2+XTfeSSkZ8u5RMQdeYlIvxhoajFl4vXr1+UZEhFSevfufd/nTJw4UYaV7du3lz/WrVs3BAYGYtWqVVV6n8zMTNjY2CAjIwPW1tY1LVcv7TuThqn/OQVDAyBkehA6uTdRuiTSYzkFxXhnaww2R1yV273a2OPJbu6Y/kOYPCvy9ZTOchI1ItINVf38rtWYEfHNBTu7yk/7Hz9+HAMHDqzw2JAhQ+TjlSkoKJA78NeFqk9cUjlvS7Rcn9bLg0GEFCcuJf9kYqCc9beRiRGOxN/AP78vCyLjOrowiBDpqRqHkdLSUsyePRs9evSAr2/lo95TU1Ph6FjxF4zYFo8/aGyKSFJ3Fzc3t5qWqdfe+zkW17MK0LqZJV4e1FbpcojKTejshp9n9kBbx8Zy29HaDPNHsj1DpK9qfEmFGDsixn0cPXq0bisCMG/ePLzyyivl2+LMCANJ9eyJTcXW09dke2bpY4EwNzFSuiSiCto4WmHbjJ7YHHEF3T2awsbCROmSiEhNYWTmzJlyDMjhw4fh6ur6wOc6OTkhLS2twmNiWzxeGTMzM7lQzdzKKcRbf7ZnnuvTGoFutkqXRHRfjUyNMLmru9JlEJGa2jRirKsIIlu2bMGBAwfQqlWrh76me/fu2L9/f4XHxJU44nGqH+LuqTeyC+Up8NkD2yhdDhERUd2dGRGtmXXr1mHbtm1yrpG74z7EuI5GjRrJ9SlTpsDFxUWO+xBmzZqFPn36YOnSpRgxYgTWr1+PU6dOYfXq1dV5a6qindEp+CXyGowMDbBkQgDMjNmeISIiHTozsnLlSnkFTd++feHs7Fy+/PTTT+XPSUpKQkpKSvl2UFCQDDAifAQEBGDjxo3YunXrAwe9Us2ImS3FZZPCC31bw9+V7RkiItLxeUYaCucZqZoZa8OxIzoF3k5W+HlmT5gac7Z/IiLS8XlGSHtsj7omg4jxn+0ZBhEiIlILfmLpADGXyN32zIx+nvIGZURERGrBMKJyosv29tZo3M4tQjtnaxlGiIiI1IRhROV+jryGPbFpbM8QEZFq8ZNLxdIz8/Hutli5/tKANmjXnIN7iYhIfRhGVNyeeXNLNDLyiuDrYo3n+7ZWuiQiIqIaYRhRqS0RV7HvbDpMjAywdEIgTIx4KImISJ34CaZCaZn58o68wuyBbeHlZKV0SURERDXGMKLC9sy8zdHIzC9GgKsNnuvtoXRJREREtcIwojIbw67gwLl0mBoZyqtnjNmeISIileMnmYqkZOTh/V/OyPVXBrdFG0e2Z4iISP0YRlTUnnljUzSyCorRoYUtpvVie4aIiHQDw4hKbDiVjMPnr8tJzRaPD4CRoYHSJREREdUJhhEVuHonDwu3n5XrcwZ7wdOhsdIlERER1RmGETW0ZzZGIbugGJ3cm+CZnq2ULomIiKhOMYxouXV/JOFowg2Ym4j2jD/bM0REpHMYRrRY8q1cfLijrD3z+hBveDRje4aIiHQPw4iWKi0VV89EIaewBF1a2uEfQS2VLomIiKheMIxoqbW/JyL0wk00MjHCx+P9Ycj2DBER6SiGES2UdDMXH+48J9fnDvNGS3tLpUsiIiKqNwwjWtieeW1jJPKKStDNww5PdnNXuiQiIqJ6xTCiZf5z/DL+uHQLFqZGcnIztmeIiEjXMYxokcs3crBod1l7Zt5wH7jZWShdEhERUb1jGNESJaI9ExKJ/KJS9PBsisldWihdEhERUYNgGNES/z52CacSb8PS1AgfPcqrZ4iISH8wjGiBC9ezsXhPnFx/e2Q7uDZhe4aIiPQHw4gWtGfmhESioLgUvdrY4/FH3JQuiYiIqEExjCjs/45eRHjSHViZGcv2jIEB2zNERKRfGEYUlJCehSW/npfr74xsh+a2jZQuiYiIqMExjCikuKQUr4ZEobC4FH29mmFCZ1elSyIiIlIEw4hCvj5yCZHJd2BlboxF49ieISIi/VXtMHL48GGMGjUKzZs3lx+gW7dufeDzDx48KJ9375Kamgp9dT4tC5/uLWvPzB/VHk425kqXREREpJ4wkpOTg4CAAKxYsaJar4uLi0NKSkr54uDgAH1UJNozGyJRWFKKAd4OeLSji9IlERERKcq4ui8YNmyYXKpLhA9bW1vou68OXUD01QzYNDLBh+P82J4hIiK912BjRgIDA+Hs7IxBgwbh2LFjD3xuQUEBMjMzKyy64FxqJpbtj5frC0a3h6M12zNERET1HkZEAFm1ahU2bdokFzc3N/Tt2xfh4eGVviY4OBg2Njbli3iNrrRniko0GNTOEWMCmytdEhERkVYw0Gg0mhq/2MAAW7ZswdixY6v1uj59+qBFixb4/vvvKz0zIpa7xJkREUgyMjJgbW0NNVq2Lx6f7jsPWwsT/PpybzhY8awIERHpNvH5LU4qPOzzu9pjRupCly5dcPTo0Uq/bmZmJhddEXstA18cKGvPvD/Gl0GEiIhI6XlGTp8+Lds3+kBMaibaM8WlGgzzdcIof/3YbyIioqqq9pmR7OxsJCQklG9funRJhgs7OzvZepk3bx6uXr2K//znP/Lrn332GVq1aoX27dsjPz8f33zzDQ4cOIBff/0V+mD5bwk4l5oFO0tTLBzry6tniIiIahtGTp06hX79+pVvv/LKK/K/Tz31FNasWSPnEElKSir/emFhIV599VUZUCwsLODv7499+/ZV+B66KuZqBlb8VhbcFo7xhX1j3Wk9ERERacUAVm0bAKNNCopLMPqLY4hLy8IIf2eseKKj0iURERFp5ec3701TTz7fHy+DiH1jU3lWhIiIiO6PYaQeiBvgrTp0Ua5/MNZPjhchIiKi+2MYqWP5RSV4LSQSJaUajA5ojqG+TkqXREREpNUYRurYZ/viEZ+eLQeriinfiYiI6MEYRupQeNJtrD58Qa5/+DdfNGF7hoiI6KEYRuqwPTMnJBKlGmBcBxcMbs/2DBERUVUwjNSRT/aex4XrOXCwMsP8UWzPEBERVRXDSB0IS7yFr4+UXT2z6FE/2FiYKF0SERGRajCM1FJeobh6Jgpi6rjxnVzR39tR6ZKIiIhUhWGklhbvicOlGzlwsjbHOyPbKV0OERGR6jCM1MIfl27h36GX/tueacT2DBERUXUxjNRQbmEx5myMlO2ZiZ3d0NfLQemSiIiIVIlhpIY+3h2HxJu5aG5jjrdG+ihdDhERkWoxjNTA8Qs3sSb0slz/aLw/rM3ZniEiIqophpFqyikoxuubIuX6E11boFebZkqXREREpGoMI9W0aNc5JN/Kg4ttI7w5nO0ZIiKi2mIYqYZjCTfw/YlEub54vD8amxkrXRIREZHqMYxUUVZ+EV7fGCXXn+zmjiBPe6VLIiIi0gkMI1X04c5zuHonD252jTB3mLfS5RAREekMhpEqOHz+On78I0muLx4fAEu2Z4iIiOoMw8hDZOYXYe6msvbMP4JaoptHU6VLIiIi0ikMIw/xr+1ncS0jH+5NLfD6UC+lyyEiItI5DCMP8FtcOn46lQwDg7L2jIUp2zNERER1jWGkEhl5RZi3KVquP9OjFbq0slO6JCIiIp3EMFKJhdvPIDUzHx72lnhtMNszRERE9YVh5D72n03DxrArZe2ZCf5oZGqkdElEREQ6i2HkHhm5RZi3uaw9M62XBzq5sz1DRERUnxhG7rHgl1ikZxWgdTNLvDKordLlEBER6TyGkb/4NTYVmyOuwtAAWDIhAOYmbM8QERHVN4aRP93OKcSbW2Lk+j97t0aHFk2ULomIiEgvMIz8af7PsbiRXYA2Do0xe2AbpcshIiLSG9UOI4cPH8aoUaPQvHlzGBgYYOvWrQ99zcGDB9GxY0eYmZnB09MTa9asgTbZHZOCnyOvwcjQgO0ZIiIibQ8jOTk5CAgIwIoVK6r0/EuXLmHEiBHo168fTp8+jdmzZ2Pq1KnYs2cPtMHN7AK89Wd75vk+rRHgZqt0SURERHql2vObDxs2TC5VtWrVKrRq1QpLly6V2z4+Pjh69Cg+/fRTDBkyBEp79+dY3MwphLeTFV4c4Kl0OURERHqn3seMHD9+HAMHDqzwmAgh4vHKFBQUIDMzs8JSH7ZHXcOOqJTy9oyZMdszREREOhdGUlNT4ejoWOExsS0CRl5e3n1fExwcDBsbm/LFzc2tzuvKLyrBez/HyvUZ/Tzh62JT5+9BREREKr2aZt68ecjIyChfkpOT6/w9xCDVVX/vhGG+TpjZj+0ZIiIi1YwZqS4nJyekpaVVeExsW1tbo1GjRvd9jbjqRiz1rXNLO7kQERGRDp8Z6d69O/bv31/hsb1798rHiYiIiKodRrKzs+UlumK5e+muWE9KSipvsUyZMqX8+dOnT8fFixfx+uuv49y5c/jyyy+xYcMGvPzyy3W5H0RERKQvYeTUqVPo0KGDXIRXXnlFrr/77rtyOyUlpTyYCOKy3h07dsizIWJ+EnGJ7zfffKMVl/USERGR8gw0Go0GWk5ceSOuqhGDWcVYEyIiItJ+Vf381sqraYiIiEh/MIwQERGRohhGiIiISFEMI0RERKQohhEiIiJSFMMIERERKYphhIiIiBTFMEJERESKYhghIiIi3b5rb124O0msmMmNiIiI1OHu5/bDJntXRRjJysqS/3Vzc1O6FCIiIqrB57iYFl7V96YpLS3FtWvXYGVlBQMDgzpNbCLgJCcn6+w9b3R9H7l/6qfr+8j9Uz9d38fMetw/ETFEEGnevDkMDQ3VfWZE7ICrq2u9fX/xf74u/oDp0z5y/9RP1/eR+6d+ur6P1vW0fw86I3IXB7ASERGRohhGiIiISFF6HUbMzMwwf/58+V9dpev7yP1TP13fR+6f+un6Ppppwf6pYgArERER6S69PjNCREREymMYISIiIkUxjBAREZGiGEaIiIhIUTodRg4fPoxRo0bJmd/EzK1bt2596GsOHjyIjh07ylHFnp6eWLNmDXRl/8S+iefdu6SmpkIbBQcH45FHHpEz7zo4OGDs2LGIi4t76OtCQkLg7e0Nc3Nz+Pn5YefOndCV/RM/j/ceP7Gf2mrlypXw9/cvn0ype/fu2LVrl04cv5rsn9qO370WLVoka549e7bOHMOa7KOajuN77733P7WKY6Ntx0+nw0hOTg4CAgKwYsWKKj3/0qVLGDFiBPr164fTp0/LH8apU6diz5490IX9u0t84KWkpJQv4oNQGx06dAgzZszAiRMnsHfvXhQVFWHw4MFyvysTGhqKSZMm4dlnn0VERIT8gBdLTEwMdGH/BPGh99fjl5iYCG0lZk4Wv9zDwsJw6tQp9O/fH2PGjEFsbKzqj19N9k9tx++vTp48ia+++kqGrwdR2zGsyT6q7Ti2b9++Qq1Hjx7VvuOn0RNiV7ds2fLA57z++uua9u3bV3hs4sSJmiFDhmh0Yf9+++03+bzbt29r1Cg9PV3Wf+jQoUqf89hjj2lGjBhR4bGuXbtqnnvuOY0u7N+///1vjY2NjUbNmjRpovnmm2907vhVZf/UevyysrI0bdq00ezdu1fTp08fzaxZsyp9rlqPYXX2UU3Hcf78+ZqAgIAqP1+p46fTZ0aq6/jx4xg4cGCFx4YMGSIf1yWBgYFwdnbGoEGDcOzYMahFRkaG/K+dnZ1OHsOq7J+QnZ0Nd3d3eWOrh/0Vrk1KSkqwfv16eeZHtDN07fhVZf/UevzEGTxx1vjeY6NLx7A6+6i24xgfHy/b+R4eHpg8eTKSkpK07vip4kZ5DUWMnXB0dKzwmNgWdzTMy8tDo0aNoGYigKxatQqdO3dGQUEBvvnmG/Tt2xe///67HCej7XduFm2zHj16wNfXt9rHUFvHxVR3/7y8vPDtt9/K08givCxZsgRBQUHyF2F93kyyNqKjo+WHc35+Pho3bowtW7agXbt2OnP8qrN/ajx+ImCFh4fLFkZVqPEYVncf1XQcu3btKse4iJpFi2bBggXo1auXbLuI8WracvwYRvSI+GEUy13iH8+FCxfw6aef4vvvv4e2/9Ui/vE8qNepZlXdP/Gh99e/usUx9PHxkX3uhQsXQhuJnzkxBkv80t64cSOeeuopOV6msg9stanO/qnt+Ilbys+aNUuOadLWAZpK7KOajuOwYcPK10V4EuFEnNHZsGGDHBeiLRhG/sLJyQlpaWkVHhPbYqCS2s+KVKZLly5a/wE/c+ZMbN++XV499LC/Oio7huJxXdi/e5mYmKBDhw5ISEiAtjI1NZVXpgmdOnWSf30uW7ZM/uLWheNXnf1T2/ETA3PT09MrnDkV7Sjxs7p8+XJ5htXIyEjVx7Am+6i24/hXtra2aNu2baW1KnX8OGbkL0TS3b9/f4XHRFp+UP9X7cRfdKJ9o43EuFzxQS1Oex84cACtWrXSqWNYk/27l/ilKdoE2noMK2tJiV/waj9+Ndk/tR2/AQMGyPrE74m7i2jzinEHYv1+H9JqO4Y12Ue1Hcd7x7qIM+KV1arY8dPoMDE6OiIiQi5iVz/55BO5npiYKL8+d+5czZNPPln+/IsXL2osLCw0c+bM0Zw9e1azYsUKjZGRkWb37t0aXdi/Tz/9VLN161ZNfHy8Jjo6Wo4WNzQ01Ozbt0+jjZ5//nk5Yv3gwYOalJSU8iU3N7f8OWL/xH7edezYMY2xsbFmyZIl8hiKkeQmJiZyf3Vh/xYsWKDZs2eP5sKFC5qwsDDN448/rjE3N9fExsZqtJGoXVwddOnSJU1UVJTcNjAw0Pz666+qP3412T+1Hb/7ufdKE7Ufw5rso5qO46uvvip/x4ifUXFsBg4cqLG3t5dX72nT8dPpMHL3UtZ7l6eeekp+XfxX/NDd+5rAwECNqampxsPDQ17CpSv799FHH2lat24t/9HY2dlp+vbtqzlw4IBGW91v38Ty12Mi9u/u/t61YcMGTdu2beUxFJdq79ixQ6Mr+zd79mxNixYt5L45Ojpqhg8frgkPD9doq2eeeUbj7u4u623WrJlmwIAB5R/Uaj9+Ndk/tR2/qnxQq/0Y1mQf1XQcJ06cqHF2dpa1uri4yO2EhAStO34G4n/q99wLERERUeU4ZoSIiIgUxTBCREREimIYISIiIkUxjBAREZGiGEaIiIhIUQwjREREpCiGESIiIlIUwwgREREpimGEiIiIFMUwQkRERIpiGCEiIiJFMYwQERERlPT/UFg2U4GSP9QAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 4
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
